document.write( "Question 1115245: Find the area between the curves y = x² and y = x + 12.\r
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Algebra.Com's Answer #730162 by ikleyn(52879) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "1.  Step 1.  Find intersection points.\r\n" );
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document.write( "    For it, solve the equation  x^2 = x + 12.\r\n" );
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document.write( "    x^2 - x -12 = 0  ====>  x = 4  and  x= -3.\r\n" );
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document.write( "2.  Step 2.\r\n" );
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document.write( "    Over the interval [-3,4],  the upper curve is  y = x + 12;  the lower curve is  y = x^2.\r\n" );
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document.write( "    Hence, you need to take the integral of the difference  (x+12) - x^2  from  -3  to  4.\r\n" );
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document.write( "    \r\n" );
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document.write( "    Plot y = x + 12 (red) and  y = x^2 (green)\r\n" );
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document.write( "3.  I just explained EVERYTHING to you.  The rest is just arithmetic, which I leave to you.\r\n" );
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